Finding the Third Proportional to 81,838 and 176,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,838 : 176,190.50 = 176,190.50 : x
2. Step 2: Convert to fraction form
   81,838/176,190.50 = 176,190.50/x
3. Step 3: Cross multiply
   81,838x = 176,190.50 × 176,190.50
4. Step 4: Simplify right side
   81,838x = 31,043,092,290.25
5. Step 5: Solve for x
   x = 31,043,092,290.25/81,838
6. Step 6: Final answer
   x = 379,323.69